The repayment of a loan after 6 years at rate of 24% Simple Interest is Rs.73200. What is the amount borrowed?

Total repayment (Principal + Interest) = Rs. 73,200

Time = 6 years

Rate of Interest = 24% per annum

Simple Interest (SI) is given by:

​$$SI = \frac{P \times R \times T}{100}$$​​

Total repayment (A) is:

A = P + SI

Substitute these values into the formula:

​$$73,200 = P \left( 1 + \frac{24 \times 6}{100} \right)$$​​

​$$73,200 = P \left( 1 + \frac{144}{100} \right)$$​​

​$$73,200 = P \times 2.44$$​​

​$$P = \frac{73,200}{2.44} = 30,000$$​​

Thus, the amount borrowed is Rs. 30,000.